What is the horizontal distance <br><br> (tricky, pay attention to the scale on the graph)

In how many ways can you seat 5 women and 5 men in a row if women must seat next to each other,men must seat next to each other,

makvit [3.9K]

Answer: 288ways

Step-by-step explanation:

There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.

Note that Siamese twins cannot be separated as such both are taken as one making it 4!.

Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes

The final seating arrangement can be done in 2!×(5!+4!) ways

= 2× (120+24)

= 2×144

= 288ways.

Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.

8 0

3 years ago

The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 14 pi. What is the measurement of th

timurjin [86]

Answer:

15

Step-by-step explanation:

3 0

3 years ago

a pattern has 14 triangles to every 18 yellow triangles. what is the ratio of yellow triangles to blue triangles?

erma4kov [3.2K]

9:7
Ratios are always simplified so by dividing both 18 and 14 by 2 you get 9 and seven. Because yellow triangles is stated first the 9 is put before the 7 blue triangles.

5 0

3 years ago

Read 2 more answers

27. The average hourly wage of workers at a fast food restaurant is $7.25/hr

morpeh [17]

Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that $\mu = 7.25, \sigma = 0.5$